dorsal/arxiv
View SchemaOperations, Disturbance, and Simultaneous Measurability
| Authors | Masanao Ozawa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0005054 |
| URL | https://arxiv.org/abs/quant-ph/0005054 |
| DOI | 10.1103/PhysRevA.63.032109 |
| Journal | Phys. Rev. A 63 (2001) 032109 |
Abstract
Quantum mechanics predicts the joint probability distributions of the outcomes of simultaneous measurements of commuting observables, but the current formulation lacks the operational definition of simultaneous measurements. In order to provide foundations of joint statistics of local general measurements on entangled systems in a general theoretical framework, the question is answered as to under what condition the outputs of two measuring apparatuses satisfy the joint probability formula for simultaneous measurements of their observables. For this purpose, all the possible state changes caused by measurements of an observable are characterized and the notion of disturbance in measurement is formalized in terms of operations derived by the measuring interaction.
{
"annotation_id": "1015eb8d-4d82-44ac-ae5a-592c7883cfb8",
"date_created": "2026-03-02T18:01:38.738000Z",
"date_modified": "2026-03-02T18:01:38.738000Z",
"file_hash": "ed0418263f1d1d7d240b7a3318c16af2d753c36d58548a620862503c3c73151d",
"private": false,
"record": {
"abstract": "Quantum mechanics predicts the joint probability distributions of the\noutcomes of simultaneous measurements of commuting observables, but the current\nformulation lacks the operational definition of simultaneous measurements. In\norder to provide foundations of joint statistics of local general measurements\non entangled systems in a general theoretical framework, the question is\nanswered as to under what condition the outputs of two measuring apparatuses\nsatisfy the joint probability formula for simultaneous measurements of their\nobservables. For this purpose, all the possible state changes caused by\nmeasurements of an observable are characterized and the notion of disturbance\nin measurement is formalized in terms of operations derived by the measuring\ninteraction.",
"arxiv_id": "quant-ph/0005054",
"authors": [
"Masanao Ozawa"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.63.032109",
"journal_ref": "Phys. Rev. A 63 (2001) 032109",
"title": "Operations, Disturbance, and Simultaneous Measurability",
"url": "https://arxiv.org/abs/quant-ph/0005054"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "13559faa-7cfa-4925-a258-60be03afaeaa",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}